The ratio of two numbers is 13 7 and their HCF is 15 what is the sum of two numbers

>

1. Two Numbers are in the ratio 17: 13.If their HCF is 15 , find the numbers.

Solution

Given ratio of two numbers is $17:13$ and HCF is $15$.
Let the first number be $a=17x$ and
Second number be $b=13x$
Since, $17$ and $13$ are prime numbers.
Thus, the H.C.F of $a$ and $b$ is $x=15$
So, the first number $=17\times 15=255$ and
second number $=13\times 15=195$
Hence, the required numbers are $255$ and $195$.